Join Examsbook
1067 0

Q: Four dice are thrown simultaneously. Find the probability that two of them show the same face and remaining two show the different faces.

  • 1
    4/9
  • 2
    5/9
  • 3
    11/18
  • 4
    7/9
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "5/9"
Explanation :

Answer: B) 5/9 Explanation: Select a number which ocurs on two dice out of six numbers (1, 2, 3, 4, 5, 6). This can be done in C16, ways.   Now select two distinct number out of remaining 5 numbers which can be done in C25 ways. Thus these 4 numbers can be arranged in 4!/2! ways.   So, the number of ways in which two dice show the same face and the remaining two show different faces is   C16×C25×4!2!=720  =>  n(E) = 720  ∴PE=72064=59

Are you sure

  Report Error

Please Enter Message
Error Reported Successfully